On multivariable Fejér inequalities
نویسندگان
چکیده
A non-negative pluriharmonic polynomial <p(z) on the unit ball of C is used as a weight against the rotationally invariant measure on the unit sphere. The resulting Hardy space carries the canonical n-tuple S of multiplication by the coordinate functions. By means of compressions of S to co-analytically invariant subspaces, and known estimates of the numerical radius of a nilpotent matrix we obtain bounds for the coefficients of p, in terms of the arithmetic mean and degree of p, and dimension n. MSC 2000: 42B05, 47A12, 31C10
منابع مشابه
Fejér Inequalities for Wright-convex Functions
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